## Trial 9 Edge Distribution Analysis Results
##
## 1. Correlation Analysis:
## comparison pearson_r p_value
## cor Starshade Observed vs Calibration Observed 0.7027197 3.674915e-16
## cor1 Starshade Observed vs Model 0.9941039 2.254190e-96
## cor2 Starshade Observed vs SLSM Starshade 0.9973604 1.924980e-113
## cor3 Calibration Observed vs Model 0.6331472 1.569586e-12
## cor4 Calibration Observed vs SLSM Starshade 0.6735214 1.616574e-14
## cor5 Model vs SLSM Starshade 0.9972677 1.041258e-112
##
## 2. Kolmogorov-Smirnov Test Results:
## comparison ks_statistic p_value
## D Starshade Observed vs Calibration Observed 0.51 1.011651e-11
## D1 Starshade Observed vs Model 0.10 6.993742e-01
## D2 Starshade Observed vs SLSM Starshade 0.04 9.999982e-01
## D3 Calibration Observed vs Model 0.52 3.611663e-12
## D4 Calibration Observed vs SLSM Starshade 0.50 2.777589e-11
## D5 Model vs SLSM Starshade 0.06 9.937649e-01
##
## 3. Root Mean Square Error Between Distributions:
## comparison rmse
## 1 Starshade Observed vs Calibration Observed 1.07333580
## 2 Starshade Observed vs Model 0.16901537
## 3 Starshade Observed vs SLSM Starshade 0.06837033
## 4 Calibration Observed vs Model 1.21696978
## 5 Calibration Observed vs SLSM Starshade 1.10196579
## 6 Model vs SLSM Starshade 0.13266971
##
## 4. Regression Analysis for Each Distribution:
## source slope intercept r_squared p_value
## log_area Starshade Observed -0.62147529 2.1990516 0.8991446 1.285514e-50
## log_area1 Calibration Observed -0.06477496 0.2019875 0.3950164 2.546405e-12
## log_area2 Model -0.68339436 2.4479841 0.9030513 1.851215e-51
## log_area3 SLSM Starshade -0.63532983 2.2429598 0.8907273 6.559785e-49
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
## source auc
## <chr> <dbl>
## 1 Calibration Observed 0.247
## 2 Model 4.10
## 3 SLSM Starshade 3.66
## 4 Starshade Observed 3.60
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
## source mean_log_count median_log_count sd_log_count min_log_count
## <chr> <dbl> <dbl> <dbl> <dbl>
## 1 Calibration Observ… 0.0570 0 0.135 0
## 2 Model 0.918 0.654 0.944 0
## 3 SLSM Starshade 0.821 0.482 0.883 0
## 4 Starshade Observed 0.808 0.602 0.860 0
## # ℹ 1 more variable: max_log_count <dbl>
## Trial 10 Edge Distribution Analysis Results
##
## 1. Correlation Analysis:
## comparison pearson_r p_value
## cor Starshade Observed vs Calibration Observed 0.9923160 9.350211e-91
## cor1 Starshade Observed vs Model 0.9912269 6.030821e-88
## cor2 Starshade Observed vs SLSM Starshade 0.9970189 7.403561e-111
## cor3 Calibration Observed vs Model 0.9737756 7.992211e-65
## cor4 Calibration Observed vs SLSM Starshade 0.9938810 1.381802e-95
## cor5 Model vs SLSM Starshade 0.9870822 9.365427e-80
##
## 2. Kolmogorov-Smirnov Test Results:
## comparison ks_statistic p_value
## D Starshade Observed vs Calibration Observed 0.34 1.908033e-05
## D1 Starshade Observed vs Model 0.09 8.127483e-01
## D2 Starshade Observed vs SLSM Starshade 0.05 9.996333e-01
## D3 Calibration Observed vs Model 0.41 1.001244e-07
## D4 Calibration Observed vs SLSM Starshade 0.35 9.570235e-06
## D5 Model vs SLSM Starshade 0.07 9.670685e-01
##
## 3. Root Mean Square Error Between Distributions:
## comparison rmse
## 1 Starshade Observed vs Calibration Observed 0.65600409
## 2 Starshade Observed vs Model 0.20110698
## 3 Starshade Observed vs SLSM Starshade 0.07462964
## 4 Calibration Observed vs Model 0.81652691
## 5 Calibration Observed vs SLSM Starshade 0.66037761
## 6 Model vs SLSM Starshade 0.22236853
##
## 4. Regression Analysis for Each Distribution:
## source slope intercept r_squared p_value
## log_area Starshade Observed -0.6502636 2.260122 0.8648647 2.206654e-44
## log_area1 Calibration Observed -0.3047132 1.041860 0.8289008 2.367129e-39
## log_area2 Model -0.7143903 2.539565 0.8857097 5.935652e-48
## log_area3 SLSM Starshade -0.6547185 2.257508 0.8422867 4.337441e-41
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
## source auc
## <chr> <dbl>
## 1 Calibration Observed 1.60
## 2 Model 4.20
## 3 SLSM Starshade 3.53
## 4 Starshade Observed 3.58
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
## source mean_log_count median_log_count sd_log_count min_log_count
## <chr> <dbl> <dbl> <dbl> <dbl>
## 1 Calibration Observ… 0.360 0 0.439 0
## 2 Model 0.940 0.533 0.996 0
## 3 SLSM Starshade 0.792 0.0750 0.936 0
## 4 Starshade Observed 0.804 0.301 0.917 0
## # ℹ 1 more variable: max_log_count <dbl>
## Trial 11 Edge Distribution Analysis Results
##
## 1. Correlation Analysis:
## comparison pearson_r p_value
## cor Starshade Observed vs Calibration Observed 0.9630816 1.175188e-57
## cor1 Starshade Observed vs Model 0.9866425 4.779898e-79
## cor2 Starshade Observed vs SLSM Starshade 0.9895681 2.810222e-84
## cor3 Calibration Observed vs Model 0.9355902 4.226939e-46
## cor4 Calibration Observed vs SLSM Starshade 0.9671463 4.266290e-60
## cor5 Model vs SLSM Starshade 0.9932099 2.229302e-93
##
## 2. Kolmogorov-Smirnov Test Results:
## comparison ks_statistic p_value
## D Starshade Observed vs Calibration Observed 0.48 1.971901e-10
## D1 Starshade Observed vs Model 0.17 1.111333e-01
## D2 Starshade Observed vs SLSM Starshade 0.17 1.111333e-01
## D3 Calibration Observed vs Model 0.50 2.777589e-11
## D4 Calibration Observed vs SLSM Starshade 0.46 1.292286e-09
## D5 Model vs SLSM Starshade 0.06 9.937649e-01
##
## 3. Root Mean Square Error Between Distributions:
## comparison rmse
## 1 Starshade Observed vs Calibration Observed 1.0134880
## 2 Starshade Observed vs Model 0.1791888
## 3 Starshade Observed vs SLSM Starshade 0.2057564
## 4 Calibration Observed vs Model 0.9687954
## 5 Calibration Observed vs SLSM Starshade 0.8702850
## 6 Model vs SLSM Starshade 0.1507934
##
## 4. Regression Analysis for Each Distribution:
## source slope intercept r_squared p_value
## log_area Starshade Observed -0.7813268 2.8501815 0.9318638 5.698289e-59
## log_area1 Calibration Observed -0.2847471 0.9822747 0.8393564 1.070844e-40
## log_area2 Model -0.7282105 2.7050619 0.9033761 1.570240e-51
## log_area3 SLSM Starshade -0.7093808 2.5682215 0.8962912 5.052006e-50
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
## source auc
## <chr> <dbl>
## 1 Calibration Observed 1.53
## 2 Model 4.81
## 3 SLSM Starshade 4.38
## 4 Starshade Observed 4.91
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
## source mean_log_count median_log_count sd_log_count min_log_count
## <chr> <dbl> <dbl> <dbl> <dbl>
## 1 Calibration Observ… 0.345 0 0.408 0
## 2 Model 1.07 1.07 1.01 0
## 3 SLSM Starshade 0.980 0.717 0.983 0
## 4 Starshade Observed 1.10 1.04 1.06 0
## # ℹ 1 more variable: max_log_count <dbl>
## Trial 12 Edge Distribution Analysis Results
##
## 1. Correlation Analysis:
## comparison pearson_r p_value
## cor Starshade Observed vs Calibration Observed 0.8856474 2.034191e-34
## cor1 Starshade Observed vs Model 0.9808596 1.882959e-71
## cor2 Starshade Observed vs SLSM Starshade 0.9473323 2.927345e-50
## cor3 Calibration Observed vs Model 0.9496741 3.334913e-51
## cor4 Calibration Observed vs SLSM Starshade 0.9772260 8.636027e-68
## cor5 Model vs SLSM Starshade 0.9905724 2.018030e-86
##
## 2. Kolmogorov-Smirnov Test Results:
## comparison ks_statistic p_value
## D Starshade Observed vs Calibration Observed 0.49 7.475143e-11
## D1 Starshade Observed vs Model 0.21 2.431031e-02
## D2 Starshade Observed vs SLSM Starshade 0.24 6.302223e-03
## D3 Calibration Observed vs Model 0.37 2.267454e-06
## D4 Calibration Observed vs SLSM Starshade 0.31 1.341096e-04
## D5 Model vs SLSM Starshade 0.07 9.670685e-01
##
## 3. Root Mean Square Error Between Distributions:
## comparison rmse
## 1 Starshade Observed vs Calibration Observed 1.1959266
## 2 Starshade Observed vs Model 0.4749725
## 3 Starshade Observed vs SLSM Starshade 0.6463391
## 4 Calibration Observed vs Model 0.7470201
## 5 Calibration Observed vs SLSM Starshade 0.6105653
## 6 Model vs SLSM Starshade 0.1778119
##
## 4. Regression Analysis for Each Distribution:
## source slope intercept r_squared p_value
## log_area Starshade Observed -0.8194974 2.9920279 0.9171047 8.542547e-55
## log_area1 Calibration Observed -0.2493649 0.8291678 0.7464043 5.891392e-31
## log_area2 Model -0.6280351 2.2044739 0.8812621 3.863310e-47
## log_area3 SLSM Starshade -0.5716532 1.9552916 0.8314698 1.126230e-39
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
## source auc
## <chr> <dbl>
## 1 Calibration Observed 1.20
## 2 Model 3.56
## 3 SLSM Starshade 3.00
## 4 Starshade Observed 5.17
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
## source mean_log_count median_log_count sd_log_count min_log_count
## <chr> <dbl> <dbl> <dbl> <dbl>
## 1 Calibration Observ… 0.271 0 0.379 0
## 2 Model 0.798 0.401 0.878 0
## 3 SLSM Starshade 0.675 0.0123 0.823 0
## 4 Starshade Observed 1.16 1.11 1.12 0
## # ℹ 1 more variable: max_log_count <dbl>
## Trial 12 Surface Distribution Analysis Results
##
## 1. Correlation Analysis:
## comparison pearson_r p_value
## cor Starshade Observed vs Calibration Observed 0.9859644 5.323202e-78
##
## 2. Kolmogorov-Smirnov Test Results:
## comparison ks_statistic p_value
## D Starshade Observed vs Calibration Observed 0.12 0.4675586
##
## 3. Root Mean Square Error Between Distributions:
## comparison rmse
## 1 Starshade Observed vs Calibration Observed 0.4265422
##
## 4. Regression Analysis for Each Distribution:
## source slope intercept r_squared p_value
## log_area Starshade Observed -1.815463 8.791456 0.9580624 2.641805e-69
## log_area1 Calibration Observed -1.681296 8.392893 0.9160102 1.625447e-54
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 2 × 2
## source auc
## <chr> <dbl>
## 1 Calibration Observed 20.8
## 2 Starshade Observed 21.2
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 2 × 6
## source mean_log_count median_log_count sd_log_count min_log_count
## <chr> <dbl> <dbl> <dbl> <dbl>
## 1 Calibration Observ… 4.63 5.11 2.31 0
## 2 Starshade Observed 4.73 5.09 2.43 0
## # ℹ 1 more variable: max_log_count <dbl>
## All Trials Surface Distribution Analysis Results
##
## 1. Correlation Analysis:
## comparison pearson_r p_value
## cor Trial 9 vs Trial 10 0.9767104 2.554861e-67
## cor1 Trial 9 vs Trial 11 0.9605212 2.953926e-56
## cor2 Trial 9 vs Trial 12 0.9819394 1.122806e-72
## cor3 Trial 10 vs Trial 11 0.9817243 1.995089e-72
## cor4 Trial 10 vs Trial 12 0.9906245 1.539446e-86
## cor5 Trial 11 vs Trial 12 0.9710947 8.835377e-63
##
## 2. Kolmogorov-Smirnov Test Results:
## comparison ks_statistic p_value
## D Trial 9 vs Trial 10 0.07 0.9670685
## D1 Trial 9 vs Trial 11 0.13 0.3667264
## D2 Trial 9 vs Trial 12 0.05 0.9996333
## D3 Trial 10 vs Trial 11 0.13 0.3667264
## D4 Trial 10 vs Trial 12 0.07 0.9670685
## D5 Trial 11 vs Trial 12 0.16 0.1545381
##
## 3. Root Mean Square Error Between Distributions:
## comparison rmse
## 1 Trial 9 vs Trial 10 0.5892228
## 2 Trial 9 vs Trial 11 0.9925532
## 3 Trial 9 vs Trial 12 0.5236460
## 4 Trial 10 vs Trial 11 0.6850030
## 5 Trial 10 vs Trial 12 0.3781914
## 6 Trial 11 vs Trial 12 0.8432413
##
## 4. Regression Analysis for Each Distribution:
## source slope intercept r_squared p_value
## log_area Trial 9 -1.948892 9.125252 0.9367151 1.523466e-60
## log_area1 Trial 10 -1.850231 9.040215 0.9603213 1.750396e-70
## log_area2 Trial 11 -1.565777 8.799607 0.9329998 2.498670e-59
## log_area3 Trial 12 -1.815463 8.791456 0.9580624 2.641805e-69
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
## source auc
## <chr> <dbl>
## 1 Trial 10 22.0
## 2 Trial 11 23.8
## 3 Trial 12 21.2
## 4 Trial 9 21.4
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
## source mean_log_count median_log_count sd_log_count min_log_count
## <chr> <dbl> <dbl> <dbl> <dbl>
## 1 Trial 10 4.90 5.24 2.48 0
## 2 Trial 11 5.29 5.79 2.13 0
## 3 Trial 12 4.73 5.09 2.43 0
## 4 Trial 9 4.76 5.35 2.64 0
## # ℹ 1 more variable: max_log_count <dbl>
## All Trials Edge Distribution Analysis Results
##
## 1. Correlation Analysis:
## comparison pearson_r p_value
## cor Trial 9 vs Trial 10 0.9929732 1.188271e-92
## cor1 Trial 9 vs Trial 11 0.9907104 9.827838e-87
## cor2 Trial 9 vs Trial 12 0.9866390 4.839999e-79
## cor3 Trial 10 vs Trial 11 0.9757956 1.651127e-66
## cor4 Trial 10 vs Trial 12 0.9704842 2.425167e-62
## cor5 Trial 11 vs Trial 12 0.9957379 2.909056e-103
##
## 2. Kolmogorov-Smirnov Test Results:
## comparison ks_statistic p_value
## D Trial 9 vs Trial 10 0.05 0.99963329
## D1 Trial 9 vs Trial 11 0.17 0.11113334
## D2 Trial 9 vs Trial 12 0.21 0.02431031
## D3 Trial 10 vs Trial 11 0.15 0.21055163
## D4 Trial 10 vs Trial 12 0.17 0.11113334
## D5 Trial 11 vs Trial 12 0.07 0.96706849
##
## 3. Root Mean Square Error Between Distributions:
## comparison rmse
## 1 Trial 9 vs Trial 10 0.1194225
## 2 Trial 9 vs Trial 11 0.3784343
## 3 Trial 9 vs Trial 12 0.4649738
## 4 Trial 10 vs Trial 11 0.3941772
## 5 Trial 10 vs Trial 12 0.4760085
## 6 Trial 11 vs Trial 12 0.1300165
##
## 4. Regression Analysis for Each Distribution:
## source slope intercept r_squared p_value
## log_area Trial 9 -0.6214753 2.199052 0.8991446 1.285514e-50
## log_area1 Trial 10 -0.6502636 2.260122 0.8648647 2.206654e-44
## log_area2 Trial 11 -0.7813268 2.850182 0.9318638 5.698289e-59
## log_area3 Trial 12 -0.8194974 2.992028 0.9171047 8.542547e-55
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 4 × 2
## source auc
## <chr> <dbl>
## 1 Trial 10 3.58
## 2 Trial 11 4.91
## 3 Trial 12 5.17
## 4 Trial 9 3.60
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 4 × 6
## source mean_log_count median_log_count sd_log_count min_log_count
## <chr> <dbl> <dbl> <dbl> <dbl>
## 1 Trial 10 0.804 0.301 0.917 0
## 2 Trial 11 1.10 1.04 1.06 0
## 3 Trial 12 1.16 1.11 1.12 0
## 4 Trial 9 0.808 0.602 0.860 0
## # ℹ 1 more variable: max_log_count <dbl>
## All Lines Starshade Surface Model Distribution Analysis Results
##
## 1. Correlation Analysis:
## comparison pearson_r p_value
## cor 1 vs 2 0.9988358 7.564024e-131
## cor1 1 vs 3 0.9989636 2.552176e-133
## cor2 1 vs 4 0.9991493 1.607047e-137
## cor3 1 vs 5 0.9981329 8.397415e-121
## cor4 1 vs 6 0.9968097 2.044465e-109
## cor5 1 vs 7 0.9992770 5.555589e-141
## cor6 1 vs 8 0.9988692 1.823520e-131
## cor7 1 vs 9 0.9990585 2.302382e-135
## cor8 1 vs 10 0.9968905 5.832676e-110
## cor9 2 vs 3 0.9971344 1.071306e-111
## cor10 2 vs 4 0.9976550 5.872171e-116
## cor11 2 vs 5 0.9965330 1.196001e-107
## cor12 2 vs 6 0.9946640 1.717183e-98
## cor13 2 vs 7 0.9983562 1.644275e-123
## cor14 2 vs 8 0.9970609 3.700220e-111
## cor15 2 vs 9 0.9978239 1.511973e-117
## cor16 2 vs 10 0.9938425 1.876590e-95
## cor17 3 vs 4 0.9985084 1.412129e-125
## cor18 3 vs 5 0.9977402 9.603163e-117
## cor19 3 vs 6 0.9967342 6.428044e-109
## cor20 3 vs 7 0.9985922 8.307438e-127
## cor21 3 vs 8 0.9989090 3.146807e-132
## cor22 3 vs 9 0.9980707 4.178564e-120
## cor23 3 vs 10 0.9967482 5.206339e-109
## cor24 4 vs 5 0.9995119 2.453363e-149
## cor25 4 vs 6 0.9988176 1.618303e-130
## cor26 4 vs 7 0.9997190 4.352269e-161
## cor27 4 vs 8 0.9996894 5.934717e-159
## cor28 4 vs 9 0.9998563 2.327759e-175
## cor29 4 vs 10 0.9985817 1.195578e-126
## cor30 5 vs 6 0.9994688 1.546511e-147
## cor31 5 vs 7 0.9994843 3.603954e-148
## cor32 5 vs 8 0.9995238 7.277024e-150
## cor33 5 vs 9 0.9996181 1.473628e-154
## cor34 5 vs 10 0.9990339 8.161006e-135
## cor35 6 vs 7 0.9986209 3.027076e-127
## cor36 6 vs 8 0.9990423 5.309737e-135
## cor37 6 vs 9 0.9988178 1.604735e-130
## cor38 6 vs 10 0.9991555 1.122184e-137
## cor39 7 vs 8 0.9995994 1.528436e-153
## cor40 7 vs 9 0.9997220 2.560420e-161
## cor41 7 vs 10 0.9981863 2.027753e-121
## cor42 8 vs 9 0.9995264 5.556977e-150
## cor43 8 vs 10 0.9988575 3.009166e-131
## cor44 9 vs 10 0.9986334 1.940138e-127
##
## 2. Kolmogorov-Smirnov Test Results:
## comparison ks_statistic p_value
## D 1 vs 2 0.03 1.0000000
## D1 1 vs 3 0.03 1.0000000
## D2 1 vs 4 0.03 1.0000000
## D3 1 vs 5 0.04 0.9999982
## D4 1 vs 6 0.06 0.9937649
## D5 1 vs 7 0.03 1.0000000
## D6 1 vs 8 0.04 0.9999982
## D7 1 vs 9 0.03 1.0000000
## D8 1 vs 10 0.06 0.9937649
## D9 2 vs 3 0.04 0.9999982
## D10 2 vs 4 0.04 0.9999982
## D11 2 vs 5 0.05 0.9996333
## D12 2 vs 6 0.07 0.9670685
## D13 2 vs 7 0.04 0.9999982
## D14 2 vs 8 0.06 0.9937649
## D15 2 vs 9 0.05 0.9996333
## D16 2 vs 10 0.08 0.9062064
## D17 3 vs 4 0.03 1.0000000
## D18 3 vs 5 0.04 0.9999982
## D19 3 vs 6 0.04 0.9999982
## D20 3 vs 7 0.04 0.9999982
## D21 3 vs 8 0.03 1.0000000
## D22 3 vs 9 0.03 1.0000000
## D23 3 vs 10 0.05 0.9996333
## D24 4 vs 5 0.03 1.0000000
## D25 4 vs 6 0.04 0.9999982
## D26 4 vs 7 0.02 1.0000000
## D27 4 vs 8 0.02 1.0000000
## D28 4 vs 9 0.02 1.0000000
## D29 4 vs 10 0.05 0.9996333
## D30 5 vs 6 0.03 1.0000000
## D31 5 vs 7 0.03 1.0000000
## D32 5 vs 8 0.02 1.0000000
## D33 5 vs 9 0.03 1.0000000
## D34 5 vs 10 0.03 1.0000000
## D35 6 vs 7 0.05 0.9996333
## D36 6 vs 8 0.04 0.9999982
## D37 6 vs 9 0.05 0.9996333
## D38 6 vs 10 0.03 1.0000000
## D39 7 vs 8 0.02 1.0000000
## D40 7 vs 9 0.02 1.0000000
## D41 7 vs 10 0.05 0.9996333
## D42 8 vs 9 0.02 1.0000000
## D43 8 vs 10 0.04 0.9999982
## D44 9 vs 10 0.05 0.9996333
##
## 3. Root Mean Square Error Between Distributions:
## comparison rmse
## 1 1 vs 2 0.04560622
## 2 1 vs 3 0.03944914
## 3 1 vs 4 0.03633549
## 4 1 vs 5 0.06031709
## 5 1 vs 6 0.07218678
## 6 1 vs 7 0.03888501
## 7 1 vs 8 0.04315660
## 8 1 vs 9 0.04105515
## 9 1 vs 10 0.07106682
## 10 2 vs 3 0.07168801
## 11 2 vs 4 0.06417193
## 12 2 vs 5 0.07237352
## 13 2 vs 6 0.09106474
## 14 2 vs 7 0.04919926
## 15 2 vs 8 0.06610239
## 16 2 vs 9 0.05758095
## 17 2 vs 10 0.09753202
## 18 3 vs 4 0.04743684
## 19 3 vs 5 0.07060149
## 20 3 vs 6 0.07576008
## 21 3 vs 7 0.05579387
## 22 3 vs 8 0.04758050
## 23 3 vs 9 0.05937966
## 24 3 vs 10 0.07452611
## 25 4 vs 5 0.03960796
## 26 4 vs 6 0.04504994
## 27 4 vs 7 0.03031912
## 28 4 vs 8 0.02497469
## 29 4 vs 9 0.02235435
## 30 4 vs 10 0.04750144
## 31 5 vs 6 0.03103146
## 32 5 vs 7 0.02843356
## 33 5 vs 8 0.02972391
## 34 5 vs 9 0.02612048
## 35 5 vs 10 0.04105053
## 36 6 vs 7 0.04678188
## 37 6 vs 8 0.03814762
## 38 6 vs 9 0.04202460
## 39 6 vs 10 0.03396742
## 40 7 vs 8 0.02474454
## 41 7 vs 9 0.02011513
## 42 7 vs 10 0.05355944
## 43 8 vs 9 0.02505910
## 44 8 vs 10 0.04159827
## 45 9 vs 10 0.04546680
##
## 4. Regression Analysis for Each Distribution:
## source slope intercept r_squared p_value
## log_area 1 -0.5745947 1.991477 0.8626897 4.831235e-44
## log_area1 2 -0.5615357 1.951405 0.8707654 2.467110e-45
## log_area2 3 -0.5815099 2.014236 0.8589816 1.786614e-43
## log_area3 4 -0.5778383 1.990227 0.8490061 5.116960e-42
## log_area4 5 -0.5636019 1.932306 0.8397044 9.626891e-41
## log_area5 6 -0.5716532 1.955292 0.8314698 1.126230e-39
## log_area6 7 -0.5655892 1.948491 0.8516637 2.140208e-42
## log_area7 8 -0.5702904 1.962300 0.8465250 1.138847e-41
## log_area8 9 -0.5688896 1.957308 0.8475658 8.154343e-42
## log_area9 10 -0.5735963 1.962319 0.8304943 1.495185e-39
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 10 × 2
## source auc
## <dbl> <dbl>
## 1 1 3.14
## 2 2 3.09
## 3 3 3.17
## 4 4 3.10
## 5 5 2.98
## 6 6 3.00
## 7 7 3.04
## 8 8 3.05
## 9 9 3.04
## 10 10 3.02
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 10 × 6
## source mean_log_count median_log_count sd_log_count min_log_count
## <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 1 0.705 0.289 0.812 0
## 2 2 0.694 0.358 0.790 0
## 3 3 0.712 0.191 0.823 0
## 4 4 0.697 0.191 0.823 0
## 5 5 0.671 0.107 0.807 0
## 6 6 0.675 0.0123 0.823 0
## 7 7 0.682 0.191 0.804 0
## 8 8 0.686 0.163 0.813 0
## 9 9 0.684 0.199 0.811 0
## 10 10 0.678 0.0379 0.826 0
## # ℹ 1 more variable: max_log_count <dbl>
## All Lines Calibration Surface Model Distribution Analysis Results
##
## 1. Correlation Analysis:
## comparison pearson_r p_value
## cor 1 vs 2 0.9951516 1.585809e-100
## cor1 1 vs 3 0.9980309 1.133750e-119
## cor2 1 vs 4 0.9996635 2.967063e-157
## cor3 1 vs 5 0.9972659 1.074680e-112
## cor4 1 vs 6 0.9977437 8.888355e-117
## cor5 1 vs 7 0.9963519 1.443638e-106
## cor6 1 vs 8 0.9912174 6.357962e-88
## cor7 1 vs 9 0.9974059 8.211316e-114
## cor8 1 vs 10 0.9960779 4.987475e-105
## cor9 2 vs 3 0.9990980 2.826783e-136
## cor10 2 vs 4 0.9956136 1.186185e-102
## cor11 2 vs 5 0.9989762 1.398791e-133
## cor12 2 vs 6 0.9988876 8.141502e-132
## cor13 2 vs 7 0.9995798 1.590111e-152
## cor14 2 vs 8 0.9990443 4.795013e-135
## cor15 2 vs 9 0.9990832 6.262543e-136
## cor16 2 vs 10 0.9988805 1.114875e-131
## cor17 3 vs 4 0.9980244 1.331972e-119
## cor18 3 vs 5 0.9994264 6.612416e-146
## cor19 3 vs 6 0.9993988 6.650110e-145
## cor20 3 vs 7 0.9994928 1.600257e-148
## cor21 3 vs 8 0.9973050 5.318698e-113
## cor22 3 vs 9 0.9994168 1.496608e-145
## cor23 3 vs 10 0.9989620 2.743538e-133
## cor24 4 vs 5 0.9976441 7.370042e-116
## cor25 4 vs 6 0.9976520 6.252802e-116
## cor26 4 vs 7 0.9964772 2.614028e-107
## cor27 4 vs 8 0.9917808 2.501950e-89
## cor28 4 vs 9 0.9978268 1.417424e-117
## cor29 4 vs 10 0.9960215 1.003350e-104
## cor30 5 vs 6 0.9986322 2.027655e-127
## cor31 5 vs 7 0.9990655 1.601072e-135
## cor32 5 vs 8 0.9975328 7.051565e-115
## cor33 5 vs 9 0.9991998 8.012992e-139
## cor34 5 vs 10 0.9989044 3.859015e-132
## cor35 6 vs 7 0.9993785 3.372592e-144
## cor36 6 vs 8 0.9964680 2.967844e-107
## cor37 6 vs 9 0.9991261 5.993121e-137
## cor38 6 vs 10 0.9989494 4.960029e-133
## cor39 7 vs 8 0.9981711 3.053264e-121
## cor40 7 vs 9 0.9995037 5.519521e-149
## cor41 7 vs 10 0.9990765 8.956911e-136
## cor42 8 vs 9 0.9970648 3.466921e-111
## cor43 8 vs 10 0.9977610 6.102946e-117
## cor44 9 vs 10 0.9983836 7.216465e-124
##
## 2. Kolmogorov-Smirnov Test Results:
## comparison ks_statistic p_value
## D 1 vs 2 0.06 0.9937649
## D1 1 vs 3 0.05 0.9996333
## D2 1 vs 4 0.02 1.0000000
## D3 1 vs 5 0.08 0.9062064
## D4 1 vs 6 0.05 0.9996333
## D5 1 vs 7 0.06 0.9937649
## D6 1 vs 8 0.07 0.9670685
## D7 1 vs 9 0.04 0.9999982
## D8 1 vs 10 0.08 0.9062064
## D9 2 vs 3 0.03 1.0000000
## D10 2 vs 4 0.07 0.9670685
## D11 2 vs 5 0.05 0.9996333
## D12 2 vs 6 0.04 0.9999982
## D13 2 vs 7 0.02 1.0000000
## D14 2 vs 8 0.03 1.0000000
## D15 2 vs 9 0.04 0.9999982
## D16 2 vs 10 0.03 1.0000000
## D17 3 vs 4 0.05 0.9996333
## D18 3 vs 5 0.06 0.9937649
## D19 3 vs 6 0.02 1.0000000
## D20 3 vs 7 0.02 1.0000000
## D21 3 vs 8 0.04 0.9999982
## D22 3 vs 9 0.03 1.0000000
## D23 3 vs 10 0.04 0.9999982
## D24 4 vs 5 0.09 0.8127483
## D25 4 vs 6 0.05 0.9996333
## D26 4 vs 7 0.06 0.9937649
## D27 4 vs 8 0.07 0.9670685
## D28 4 vs 9 0.04 0.9999982
## D29 4 vs 10 0.08 0.9062064
## D30 5 vs 6 0.06 0.9937649
## D31 5 vs 7 0.06 0.9937649
## D32 5 vs 8 0.04 0.9999982
## D33 5 vs 9 0.06 0.9937649
## D34 5 vs 10 0.04 0.9999982
## D35 6 vs 7 0.03 1.0000000
## D36 6 vs 8 0.05 0.9996333
## D37 6 vs 9 0.03 1.0000000
## D38 6 vs 10 0.03 1.0000000
## D39 7 vs 8 0.03 1.0000000
## D40 7 vs 9 0.03 1.0000000
## D41 7 vs 10 0.03 1.0000000
## D42 8 vs 9 0.05 0.9996333
## D43 8 vs 10 0.04 0.9999982
## D44 9 vs 10 0.05 0.9996333
##
## 3. Root Mean Square Error Between Distributions:
## comparison rmse
## 1 1 vs 2 0.08061827
## 2 1 vs 3 0.04924833
## 3 1 vs 4 0.01778867
## 4 1 vs 5 0.06143171
## 5 1 vs 6 0.04950316
## 6 1 vs 7 0.06588700
## 7 1 vs 8 0.10817392
## 8 1 vs 9 0.05213392
## 9 1 vs 10 0.06769087
## 10 2 vs 3 0.03571660
## 11 2 vs 4 0.07835248
## 12 2 vs 5 0.03250816
## 13 2 vs 6 0.04315720
## 14 2 vs 7 0.02461213
## 15 2 vs 8 0.03347406
## 16 2 vs 9 0.04698409
## 17 2 vs 10 0.03780540
## 18 3 vs 4 0.04949169
## 19 3 vs 5 0.02538749
## 20 3 vs 6 0.02480585
## 21 3 vs 7 0.02255071
## 22 3 vs 8 0.06117038
## 23 3 vs 9 0.02850054
## 24 3 vs 10 0.03200326
## 25 4 vs 5 0.05885528
## 26 4 vs 6 0.05018166
## 27 4 vs 7 0.06518483
## 28 4 vs 8 0.10606138
## 29 4 vs 9 0.04777213
## 30 4 vs 10 0.06794804
## 31 5 vs 6 0.03988339
## 32 5 vs 7 0.02958268
## 33 5 vs 8 0.05366749
## 34 5 vs 9 0.03778891
## 35 5 vs 10 0.03318666
## 36 6 vs 7 0.02772706
## 37 6 vs 8 0.07122050
## 38 6 vs 9 0.02927052
## 39 6 vs 10 0.03309176
## 40 7 vs 8 0.05017981
## 41 7 vs 9 0.03078581
## 42 7 vs 10 0.02992986
## 43 8 vs 9 0.07199508
## 44 8 vs 10 0.05542910
## 45 9 vs 10 0.04207640
##
## 4. Regression Analysis for Each Distribution:
## source slope intercept r_squared p_value
## log_area 1 -0.4799373 1.655257 0.8485806 5.874869e-42
## log_area1 2 -0.4913128 1.725389 0.8838731 1.297678e-47
## log_area2 3 -0.4839446 1.688698 0.8727120 1.171503e-45
## log_area3 4 -0.4782786 1.650797 0.8486298 5.781843e-42
## log_area4 5 -0.4866653 1.705628 0.8794854 8.006856e-47
## log_area5 6 -0.4805276 1.674285 0.8729008 1.089199e-45
## log_area6 7 -0.4857015 1.699302 0.8789826 9.821404e-47
## log_area7 8 -0.4926665 1.743552 0.8943796 1.237636e-49
## log_area8 9 -0.4752808 1.656676 0.8706598 2.567988e-45
## log_area9 10 -0.4818688 1.689285 0.8850458 7.886536e-48
## [1] "\n5. Area Under Curve Analysis:\n"
## # A tibble: 10 × 2
## source auc
## <dbl> <dbl>
## 1 1 2.58
## 2 2 2.79
## 3 3 2.70
## 4 4 2.58
## 5 5 2.74
## 6 6 2.66
## 7 7 2.73
## 8 8 2.86
## 9 9 2.64
## 10 10 2.72
## [1] "\n6. Distribution Summary Statistics:\n"
## # A tibble: 10 × 6
## source mean_log_count median_log_count sd_log_count min_log_count
## <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 1 0.581 0.143 0.684 0
## 2 2 0.625 0.297 0.686 0
## 3 3 0.605 0.252 0.680 0
## 4 4 0.580 0.121 0.681 0
## 5 5 0.616 0.252 0.681 0
## 6 6 0.598 0.235 0.675 0
## 7 7 0.612 0.275 0.680 0
## 8 8 0.641 0.375 0.684 0
## 9 9 0.593 0.199 0.668 0
## 10 10 0.610 0.318 0.672 0
## # ℹ 1 more variable: max_log_count <dbl>